You are setting out snacks for some friends to come over. You have 18 crackers and 12 slices of cheese. If you want each plate to be identical, with no food left over, what is the greatest number of plates you can prepare? How many crackers will be on each plate? How many slices of cheese will be on each plate?​

Answers

Answer 1

The concept of greatest common factor is used to solve this question. Then, we use it to find the number of crackers and slices of cheese, and the answer is:

The greatest number of plates you can prepare is 6.Each plate will have 3 crackers.Each plate will have 2 slices of cheese.

--------------------------------

To find the greatest number of plates, you need to find the greatest common factor between 12 and 18.

Thus, factoring them, always by the same number:

12 - 18|2

6 - 9|3

2 - 3

The greatest common factor is 2x3 = 6, which means that the greatest number of plates you can prepare is 6.

--------------------------------

18 crackers, so each plate has 18/6 = 3 crackers.

12 slices of cheese, so each plate has 12/6 = 2 slices of cheese.

A similar question is given at https://brainly.com/question/18454593


Related Questions

Please help me with this I need it

Answers

9514 1404 393

Answer:

  2/3

Step-by-step explanation:

Let x represent the fraction of Cheryl's income she spent in September. Then 1-x is the fraction she saved.

In October, her spending increased by 0.2x, and her savings decreased by 0.4(1 -x). Since Cheryl spends or saves all of her income, these two change amounts must be equal:

  0.2x = 0.4(1 -x)

  x = 2(1 -x) . . . . . . multiply by 5 to clear fractions

  x = 2 -2x . . . . . . eliminate parentheses

  3x = 2 . . . . . . . . add 2x

  x = 2/3 . . . . . . divide by 3

Cheryl spent 2/3 of her income in September.

In a city of 26000 populations, 5000 read English newspaper, 12000 read Nepali newspaper and 1000 read both. What percentage read neither English and Nepali newspaper? ( from set theory )

Answers

Answer:

38.46%

Step-by-step explanation:

total readers=16000

population=26000

no of non-readers=total population-total readers

=26000-16000

=10000

percentage of non-readers=non-readers×100%

population

=10000×100%

26000

percentage of non-readers is 38.46%

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match each verbal description to its equivalent function rule as applied to the given function below. The function f stretched vertically by a factor of 2 and translated down by 3 units. arrowBoth The function f reflected about the y-axis and translated 3 units left. arrowBoth The function f stretched vertically by a factor of 3 and translated up by 2 units. arrowBoth The function f translated 2 units down and 3 units right. arrowBoth

Answers

Answer:

The function f stretched vertically by a factor of 2 and translated down by 3 units. ---> [tex]g(x) = 14x +7[/tex]

The function f reflected about the y-axis and translated 3 units left.  ---> [tex]g(x) = -7x-16[/tex]

The function f stretched vertically by a factor of 3 and translated up by 2 units.  ---> [tex]g(x) = 21x +17[/tex]

The function f translated 2 units down and 3 units right. ----> [tex]g(x) = 7x -18[/tex]

Step-by-step explanation:

Explanation could not be submitted; So, I added it as an attachment

Answer: answer below :)

Step-by-step explanation:

What is the area of this triangle?

Answers

I can't type it I have to solve on a paper for you

Question 1
Drag the orange points on the cylinder and the cone to change their radii and heights. (Make sure the Freeze height
checkboxes are not checked.) Set equal radii and heights for the cylinder and the cone, and note their respective volumes.
Record the volumes for a few sets of heights and radii, and calculate the ratio of the volumes in each case. Remember, make
sure the height and radius of the cone and the cylinder are the same in each pair. (You might see some discrepancies in the
tool due to rounding of decimals.) Round your calculations for ratio to the hundredths place. The first one has been done for
you.

Answers

Answer:

.

Step-by-step explanation:

2: 5, 10, 261.8, 785.4, 0.33

3: 7, 20, 1,026.3, 3,078.8, 0.33

4: 8, 6, 402.1, 1,206.4, 0.33

5: 12, 11, 1,658.8, 4,976.3, 0.33



Simplify (x³ - y²)(x+y) divided by (x² - y²)³

can you guys give me proper explanation? ​

Answers

1. change (x^2 - y^2)^3 to (x-y)^3 x (x+y)^3
you should write the devision as fraction so it can be easier for you to simplify
2. then you simplify (x+y) and (x+y)^3
=> x^3-y^2 over (x-y)^3 x (x+y)^2
and there you go! i hope it helped and you can give me brainliest if you want to, that would mean a lot

Answer:

x^4 - yx^3 - xy^4 - y^5

Step-by-step explanation:

(x³ - y²)(x+y) / (x² - y²)³

(x^3 - y^2) (x+y) / (x^6 - y^6)

(x^3 - y^4) (x+y)

x^4 - yx^3 - xy^4 - y^5

A waitress pours 3/4 gallon of orange juice equally into 5 pitchers. what fraction of a gallon of orange juice is in each pitcher?

Answers

Answer:

15/100

Step-by-step explanation:

3/4 or a gallon is equal to 75/100

Because its 5 pitchers we divide by 5 and 75 divided by 5 is 15

Si confused as to how to solve this

Answers

Answer:

x^2, 10-x , 1.5x -5  

Step-by-step explanation:

Question 8 If f (2) = (1 + 3) and g (2) VO+ 7, find g (f (x)). 9(f()) = 1 + 10 O g(f ()) = VI + 3 +7 Og(f (x)) = v= + 10 Og(f (2)) = 2? + 10​

Answers

Answer:

x+10

Step-by-step explanation:

f(x) = (x+3)^2 and g(x) = sqrt(x)+7

g(f(x)) =

Replace f(x) in for x in the function g(x)

        = sqrt((x+3)^2)+7

        = x+3 +7

         = x+10

find the missing length

Answers

Answer:

it is an rigjt angle triangle you shoult pythogores therom if you will know it it will be easy to you to understand this question

Kenya solved the equation below. Negative 6 (x minus 2) + 3 x = negative 3 (x + 3) + 21 What is the solution to Kenya's equation? –4 12 no solution infinitely many solutions

Answers

Answer: No solution

Step-by-step explanation:

-6(x - 2) + 3x = -3(x + 3) + 21

-6x + 12 + 3x = -3x - 9 + 21

Collect like terms

-6x + 3x + 3x = -9 + 21 - 12

-6x + 6x = - 9 + 9

0 = 0

In this scenario, it can be deduced that there is no solution to Kenya's equation.

Answer:

infinitely many solutions

Step-by-step explanation:

i got it right

what is the answer to
(35+5)[16+(12÷ 4)]

Answers

12÷4=3| |3+16=19| |35+5=40| 40+19=59|
|if I’m correct the answer to the equation should be 59 <3

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

760

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the answer...}}\\\\(35+5)[16+(12\div 4)]\\------------------\\\text{Follow \textbf{PEMDAS}}\\\\\rightarrow 35+ 5 = 40\\\\40[16+(12\div 4)]\\\\\rightarrow 12\div4 = 3\\\\\rightarrow 16 + 3 = 19\\\\40(19)\\\\\rightarrow 40 * 19\\\\\boxed{760}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Find the midpoint given the endpoints (4,-10) (22,-4) Please do not use space when
typing in your answer

Answers

Answer: (13,-7)

Step-by-step explanation:

By using the formula [tex](x_{m},y_{m}) =(\frac{x_{1}+x_{2} }{2},\frac{y_{1}+y_{2} }{2} )[/tex]

[tex](x_{m},y_{m})\\[/tex] is the coordinates of the midpoint.

For finding the midpoint X variable do:

[tex](\frac{4+22}{2})=13[/tex]

For finding the midpoint Y variable do:

[tex]\frac{-10+(-4)}{2} = -7[/tex] (you can either keep the parenthesis or take them out. Either way, the answer is the same.

Considering coordinate numbers follow the format: (x,y), you'll simply just substitute the numbers found above into their respective places.

x: 13

y: -7

(13,-7).

Instructions: Given the following coordinates complete the glide reflection
transformation.
A(-9,-2)
B(-9,-5)
C(-5,-4)
Transformation: Reflection over the y-axis and a translation of shifting up 5 units

Answers

Answer:

A(9,3)

B(9,0)

C(5,1)

Step-by-step explanation:

A hot air balloon is released into the air. During its straight ascent, the angle of elevation was 15° and, 3 minutes later, the angle of elevation increased 20°. How fast is the balloon traveling, in km/h, if the angle measurements were taken 300m away from the launch site?

Answers

Answer:

The speed of the balloon is 0.16 m/s.

Step-by-step explanation:

CD = 300 m

Let AD = x

AB = y

time, t = 3 min

Triangle, ADC

[tex]tan 15 = \frac{AD}{BC}\\\\0.27 \times 300 = x \\\\x = 80.4 m[/tex]

Triangle, BCD

[tex]tan 20 = \frac{BD}{BC}\\\\0.36 \times 300 = x + y \\\\x + y = 109.2 m[/tex]

So, y = 109.2 - 80.4 = 28.8 m

Speed = 28.8/180 = 0.16 m/s

A company's stock price flucated over a period of four days. The table shows the change in stock price per day. The net change in the company's stock price over the four days

Answers

Answer:

The net change is -.30

Step-by-step explanation:

increase means add

decrease means subtract

+3.50

-3.70

+3.30

-3.40

-------------

-.30

The net change is -.30

Find the measure of the indicated angle.

Answers

Answer:

i think it the measured of the indicated angle is 55

The volume of a prism with side lengths measured in millimeters is 20. How could this measurement be written? Check all that apply.

20 millimeters
20 mm3
20 mm2
20 square millimeters
20 cubic millimeters

Answers

Answer:

20 mm^3, 20 cubic millimeters

Step-by-step explanation:

The volume of a prism is length times width times height.

Length, width, and height can have units of mm.

mm * mm * mm = mm^3

The units of a volume must be cubic units.

Answer: 20 mm^3, 20 cubic millimeters

Professor Goodheart has two exams, exam 1 and exam 2. The exam 1 weights 40% and the exam 2 weights 60% of the final grades. Put the grades on the exam 1 on the horizontal axis and the grade on the exam w on the vertical axis. What kind of preference a student should have for these two grades

Answers

Answer:

Imperfect substitutes

explanation:

The choices above are not perfect substitutes, meaning they can not be perfectly or directly replace the other. Imperfect substitutes are close substitutes but not perfect substitutes. Unlike perfect substitutes, imperfect substitutes satisfies same utility but has different characteristics and therefore not entirely substitutable. For example, while one may want to have the 40 marks too, he'd rather have 60 marks even if the criteria for a 60 mark score was increasingly hard.

Mis Gurung is a bank Manager in a development bank. She draws Rs 75000 every month and a Dashain bonus of one months salary. Find her income tax in a year. ​

Answers

Answer:

With new regime is 183,750Rs

Step-by-step explanation:

I. 75,000 * 13 [12 months + 1 month bonus] = 975,000

II. Ms.Gurung tax rate will be ₹37500 + 15%

III. Perform ratio x/975,000 = 15/100 [15% is 15/100] = 146,250

IIII. ₹37500 + 146,250 = 183,750Rs

It depends on how tax rate will costs, could be more or less.

1-tanx/1+tanx=1+sin2x

Answers

are you sure about the ques?

How many solutions does this equation have x^4 - 6x^2 -7 = 0

Answers

Answer:

2 solutions

Step-by-step explanation:

x^4-6x^2-7=0

Replace x^2 by y

(x^2)^2-6x^2-7=0

y^2-6y-7=0

D=b^2-4ac= (-6)^2-4*1*(-7)= 36+28=64

sqrtD=8

y1=(-b-sqrtD)/2a=-2/2=-1

y2= (-b+sqrtD)/2a=14/2=7

x^2=-1(n0 roots)    x^2=7 x=sqrt7 or x=-sqrt7

2 roots

x(x - 2) = 4 please help

Answers

Answer:

[tex]x = 1 + \sqrt{5} x = 1 - \sqrt{5} [/tex]

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.

A(1, 1), B(-3, 0), C(-4, -1), D(3, -2)

Answers

Answer:

is this geomtey

Step-by-step explanation:

Make sure to put what kind of maths (geometry algebra ect.) this is so others can meet your needs better. Also might want to put what unit or type of problem this is as well.

. f(x) = Square root of quantity x plus nine. ; g(x) = 8x - 13 Find f(g(x)). (1 point)
f(g(x)) = 2 Square root of quantity two x minus one.
f(g(x)) = 8 Square root of quantity x minus four.
f(g(x)) = 2 Square root of quantity two x plus one.
f(g(x)) = 8 Square root of quantity x plus nine - 13

Answers

Answer:

2 sqrt(2x-1)

Step-by-step explanation:

f(x) = sqrt( x+9)

g(x) = 8x-13

f(g(x))

place the function g(x) in for x in f(x)

f(g(x)) = sqrt(8x-13+9)

Combine like terms

f(g(x)) = sqrt(8x-4)

Factor out 4

f(g(x)) = sqrt(4*(2x-1)

           2 sqrt(2x-1)

[tex]\\ \sf\longmapsto f(x)=\sqrt{x+7}[/tex]

[tex]\\ \sf\longmapsto g(x)=8x-11[/tex]

g(x) will be put on the place of x

[tex]\\ \sf\longmapsto f(g(x))=\sqrt{8x-11+7}[/tex]

[tex]\\ \sf\longmapsto f(g(x))=\sqrt{8x-4}[/tex]

[tex]\\ \sf\longmapsto f(g(x))=\sqrt{4(2x-1)}[/tex]

[tex]\\ \sf\longmapsto f(g(x))=2\sqrt{2x-1}[/tex]

Help with both plz :)

Answers

Step-by-step explanation:

Concept Required :-

BODMAS

Brackets , Of , Division , Multiplication , Addition , Subtraction .

Solution 9:-

We are here given ,

32 ÷ 10 - 8 ÷ 2 -3

Putting brackets after and before 10 -8

32 ÷ ( 10 - 8 ) ÷ 2 - 3

On simplifying,

32 ÷ 2 ÷ 2 - 3 16 ÷ 2 - 3 8 - 3 5

Expression :- 32 ÷ (10 -8) ÷ 2 - 3

Solution 10 :-

We are given,

1/2 × 12 ÷ 2 - 2 + 11

Putting brackets ,

1/2 × ( 12 ÷ 2 - 2 ) + 111/2 ( 6 - 2 ) + 111/2 × 4 + 112 + 1113

Expression :- 1/2 × (12 ÷ 2 - 2 ) +11

Step-by-step explanation:

1. 32 ÷ 10 - 8 ÷ 2 - 3

32 ÷ 2 ÷ 2 - 3

16 ÷ 2 - 3

8 - 3

5

2.

½ × 12 + 2 - 2 + 11

6 + 2 - 2 + 11

19 - 2

17

142°
3xº + 220
X =
degrees.

Answers

Step-by-step explanation:

hope it will help you market is brilliant

hat is the measure of x?
X = [?]
D
126

Answers

Answer:

since those are angles on a straight line.

we work out as follows

x+126°=180°x+126°-126°=180°-126°x=54°

∠DBA and ∠DBC are making linear pair.

Linear pair of angles are formed when two lines intersect each other at a single point.

The sum of angles of a linear pair is always equal to 180°

[tex]\rm \large\longrightarrow \: \: x \: + \: 126 \degree \: = \: 180 \degree[/tex]

[tex]\rm \large\longrightarrow \: \: x \: = \: 180 \degree \: - \: 126 \degree [/tex]

[tex]\rm \large\longrightarrow \: \: x \: = \: 54 \degree[/tex]

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!

Answers

Answer:

The distribution is positively skewed.

Step-by-step explanation:

It's not symmetric because the distribution in the chart isn't equally shown or marked. It's not negative skewed either because for it to be negative the graph would have to go down in a negative direction, usually the left, but in the picture you posted the graph is going down in the right direction. Lastly, positively skewed graphs or charts look like the one you posted. They go down in the right direction, hence why they're called "positively" skewed. The right tail of the distribution is longer in positively skewed graphs or charts.

Find the solutions to x2 = 28.
A. x = 14,2
O B. x = +2./14
O C. X = +2,7
O D. x = -7/2

Answers

Answer: [tex]x = \pm2\sqrt{7}\\\\[/tex]

Work Shown:

[tex]x^2 = 28\\\\x = \pm\sqrt{28}\\\\x = \pm\sqrt{4*7}\\\\x = \pm\sqrt{4}*\sqrt{7}\\\\x = \pm2\sqrt{7}\\\\[/tex]

This can be rewritten into [tex]x = 2\sqrt{7} \ \text{ or } \ x = -2\sqrt{7}[/tex]

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